{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\ritvik\\Anaconda3\\lib\\site-packages\\statsmodels\\tools\\_testing.py:19: FutureWarning: pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n",
      "  import pandas.util.testing as tm\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from datetime import datetime\n",
    "from datetime import timedelta\n",
    "from pandas.plotting import register_matplotlib_converters\n",
    "from statsmodels.tsa.stattools import acf, pacf\n",
    "from statsmodels.tsa.statespace.sarimax import SARIMAX\n",
    "register_matplotlib_converters()\n",
    "from time import time"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Catfish Sales Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def parser(s):\n",
    "    return datetime.strptime(s, '%Y-%m-%d')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#read data\n",
    "catfish_sales = pd.read_csv('catfish.csv', parse_dates=[0], index_col=0, squeeze=True, date_parser=parser)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "#infer the frequency of the data\n",
    "catfish_sales = catfish_sales.asfreq(pd.infer_freq(catfish_sales.index))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "start_date = datetime(1996,1,1)\n",
    "end_date = datetime(2000,1,1)\n",
    "lim_catfish_sales = catfish_sales[start_date:end_date]"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "Introduce an Anomaly"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "#At December 1 1998\n",
    "lim_catfish_sales[datetime(1998,12,1)] = 10000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "plt.plot(lim_catfish_sales)\n",
    "plt.title('Catfish Sales in 1000s of Pounds', fontsize=20)\n",
    "plt.ylabel('Sales', fontsize=16)\n",
    "for year in range(start_date.year,end_date.year):\n",
    "    plt.axvline(pd.to_datetime(str(year)+'-01-01'), color='k', linestyle='--', alpha=0.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Remove the trend"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "first_diff = lim_catfish_sales.diff()[1:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.lines.Line2D at 0x1f29c731908>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "plt.plot(first_diff)\n",
    "plt.title('Catfish Sales in 1000s of Pounds', fontsize=20)\n",
    "plt.ylabel('Sales', fontsize=16)\n",
    "for year in range(start_date.year,end_date.year):\n",
    "    plt.axvline(pd.to_datetime(str(year)+'-01-01'), color='k', linestyle='--', alpha=0.2)\n",
    "plt.axhline(0, color='k', linestyle='--', alpha=0.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Get training and testing sets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_end = datetime(1999,7,1)\n",
    "test_end = datetime(2000,1,1)\n",
    "\n",
    "test_data = lim_catfish_sales[train_end + timedelta(days=1):test_end]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Make Predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "my_order = (0,1,0)\n",
    "my_seasonal_order = (1, 0, 1, 12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\ritvik\\Anaconda3\\lib\\site-packages\\statsmodels\\base\\model.py:512: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n"
     ]
    }
   ],
   "source": [
    "rolling_predictions = test_data.copy()\n",
    "for train_end in test_data.index:\n",
    "    train_data = lim_catfish_sales[:train_end-timedelta(days=1)]\n",
    "    model = SARIMAX(train_data, order=my_order, seasonal_order=my_seasonal_order)\n",
    "    model_fit = model.fit()\n",
    "\n",
    "    pred = model_fit.forecast()\n",
    "    rolling_predictions[train_end] = pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "rolling_residuals = test_data - rolling_predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Error')"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "plt.plot(rolling_residuals)\n",
    "plt.axhline(0, linestyle='--', color='k')\n",
    "plt.title('Rolling Forecast Residuals from SARIMA Model', fontsize=20)\n",
    "plt.ylabel('Error', fontsize=16)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "\n",
    "plt.plot(lim_catfish_sales)\n",
    "plt.plot(rolling_predictions)\n",
    "\n",
    "plt.legend(('Data', 'Predictions'), fontsize=16)\n",
    "\n",
    "plt.title('Catfish Sales in 1000s of Pounds', fontsize=20)\n",
    "plt.ylabel('Production', fontsize=16)\n",
    "for year in range(start_date.year,end_date.year):\n",
    "    plt.axvline(pd.to_datetime(str(year)+'-01-01'), color='k', linestyle='--', alpha=0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean Absolute Percent Error: 0.072\n"
     ]
    }
   ],
   "source": [
    "print('Mean Absolute Percent Error:', round(np.mean(abs(rolling_residuals/test_data)),4))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Root Mean Squared Error: 2382.2706255447415\n"
     ]
    }
   ],
   "source": [
    "print('Root Mean Squared Error:', np.sqrt(np.mean(rolling_residuals**2)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Detecting the Anomaly"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Attempt 1: Deviation Method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "plt.plot(lim_catfish_sales)\n",
    "plt.title('Catfish Sales in 1000s of Pounds', fontsize=20)\n",
    "plt.ylabel('Sales', fontsize=16)\n",
    "for year in range(start_date.year,end_date.year):\n",
    "    plt.axvline(pd.to_datetime(str(year)+'-01-01'), color='k', linestyle='--', alpha=0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "rolling_deviations = pd.Series(dtype=float, index = lim_catfish_sales.index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "for date in rolling_deviations.index:\n",
    "    #get the window ending at this data point\n",
    "    window = lim_catfish_sales.loc[:date]\n",
    "    \n",
    "    #get the deviation within this window\n",
    "    rolling_deviations.loc[date] = window.std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "#get the difference in deviation between one time point and the next\n",
    "diff_rolling_deviations = rolling_deviations.diff()\n",
    "diff_rolling_deviations = diff_rolling_deviations.dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "plt.plot(diff_rolling_deviations)\n",
    "plt.title('Deviation Differences', fontsize=20)\n",
    "plt.ylabel('Sales', fontsize=16)\n",
    "for year in range(start_date.year,end_date.year):\n",
    "    plt.axvline(pd.to_datetime(str(year)+'-01-01'), color='k', linestyle='--', alpha=0.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Attempt 2: Seasonal Method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "month_deviations = lim_catfish_sales.groupby(lambda d: d.month).std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Sales')"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "plt.plot(month_deviations)\n",
    "plt.title('Deviation by Month', fontsize=20)\n",
    "plt.ylabel('Sales', fontsize=16)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## So, the anomaly occurs in a December"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "december_data = lim_catfish_sales[lim_catfish_sales.index.month == 12]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Date\n",
       "1996-12-01    16898\n",
       "1997-12-01    18278\n",
       "1998-12-01    10000\n",
       "1999-12-01    22372\n",
       "Name: Total, dtype: int64"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "december_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "min_dev = 9999999\n",
    "curr_anomaly = None\n",
    "for date in december_data.index:\n",
    "    other_data = december_data[december_data.index != date]\n",
    "    curr_dev = other_data.std()\n",
    "    if curr_dev < min_dev:\n",
    "        min_dev = curr_dev\n",
    "        curr_anomaly = date"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Timestamp('1998-12-01 00:00:00')"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "curr_anomaly"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# What to do about the anomaly?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simple Idea: use mean of other months"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "adjusted_data = lim_catfish_sales.copy()\n",
    "adjusted_data.loc[curr_anomaly] = december_data[(december_data.index != curr_anomaly) & (december_data.index < test_data.index[0])].mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.lines.Line2D at 0x26decdae708>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "plt.plot(lim_catfish_sales, color='firebrick', alpha=0.4)\n",
    "plt.plot(adjusted_data)\n",
    "plt.title('Catfish Sales in 1000s of Pounds', fontsize=20)\n",
    "plt.ylabel('Sales', fontsize=16)\n",
    "for year in range(start_date.year,end_date.year):\n",
    "    plt.axvline(pd.to_datetime(str(year)+'-01-01'), color='k', linestyle='--', alpha=0.2)\n",
    "plt.axvline(curr_anomaly, color='k', alpha=0.7)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Resulting Predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_end = datetime(1999,7,1)\n",
    "test_end = datetime(2000,1,1)\n",
    "\n",
    "test_data = adjusted_data[train_end + timedelta(days=1):test_end]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\ritvik\\Anaconda3\\lib\\site-packages\\statsmodels\\base\\model.py:512: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "C:\\Users\\ritvik\\Anaconda3\\lib\\site-packages\\statsmodels\\base\\model.py:512: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "C:\\Users\\ritvik\\Anaconda3\\lib\\site-packages\\statsmodels\\base\\model.py:512: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "C:\\Users\\ritvik\\Anaconda3\\lib\\site-packages\\statsmodels\\base\\model.py:512: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n"
     ]
    }
   ],
   "source": [
    "rolling_predictions = test_data.copy()\n",
    "for train_end in test_data.index:\n",
    "    train_data = adjusted_data[:train_end-timedelta(days=1)]\n",
    "    model = SARIMAX(train_data, order=my_order, seasonal_order=my_seasonal_order)\n",
    "    model_fit = model.fit()\n",
    "\n",
    "    pred = model_fit.forecast()\n",
    "    rolling_predictions[train_end] = pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "rolling_residuals = test_data - rolling_predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Error')"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "plt.plot(rolling_residuals)\n",
    "plt.axhline(0, linestyle='--', color='k')\n",
    "plt.title('Rolling Forecast Residuals from SARIMA Model', fontsize=20)\n",
    "plt.ylabel('Error', fontsize=16)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "\n",
    "plt.plot(lim_catfish_sales)\n",
    "plt.plot(rolling_predictions)\n",
    "\n",
    "plt.legend(('Data', 'Predictions'), fontsize=16)\n",
    "\n",
    "plt.title('Catfish Sales in 1000s of Pounds', fontsize=20)\n",
    "plt.ylabel('Production', fontsize=16)\n",
    "for year in range(start_date.year,end_date.year):\n",
    "    plt.axvline(pd.to_datetime(str(year)+'-01-01'), color='k', linestyle='--', alpha=0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean Absolute Percent Error: 0.0459\n"
     ]
    }
   ],
   "source": [
    "print('Mean Absolute Percent Error:', round(np.mean(abs(rolling_residuals/test_data)),4))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Root Mean Squared Error: 1321.1246722569683\n"
     ]
    }
   ],
   "source": [
    "print('Root Mean Squared Error:', np.sqrt(np.mean(rolling_residuals**2)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
